Bending of a T Section Beam

Description

Calculate the deflections of a cantilever T beam of length L = 2000" subjected to a force of 100 lbs acting on its free end.

File Name

Browse to drive letter:\Users\Public\Public Documents\SOLIDWORKS\SOLIDWORKS version\samples\Simulation Examples\Verification\Static_8.SLDPRT and open the file.

Study Type

Static.

Mesh Type

Solid mesh and Beam mesh.

Meshing Parameters

Use a Global Size of 25 in for Solid mesh.

Material Properties

Modulus of elasticity = 1 X 1011 psi, Poisson's ratio = 0.3.

Results

The following analytical solutions are used to calculate displacements and rotations at the free end: δ (displacement) = PL3/3EI, φ (rotation) = PL2/2EI.

Where P is the value of the applied force, E is the cantilever's modulus of elasticity, and I is the moment of inertia of the beam cross section.

   

Theory

SOLIDWORKS Simulation

Solid Mesh

SOLIDWORKS Simulation

Beam Mesh

Free end End Y-displacement (in) -5.546e-6 -5.545e-6 -5.546e-6
Shear X-Rotation (rad) 4.159e-9 -- 4.159e-9